Effect of Slipping Yarn Friction on Stress Concentration Near Yarn Breaks in Woven Fabrics

Abstract

The assumption of a constant friction force (simple slip assumption) on broken slipping yarns, which has been used in the micromechanical analysis of damage growth in stressed plain weave fabrics, is evaluated. In this analysis, the frictional traction on slipping yarns is variable. It starts from zero at the cut end of the yarn and approaches a constant value with exponential behavior, where the steepness of the approach depends on a parameter γ. The stress concentration factor (SCF) is determined for various values of γ as a function of increased loading. For values of γ that are expected to be physically realistic for most fabrics, the obtained SCF differs from that using the simple slip assumption by about 5%.

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References

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